x - Ernie, y - Kaylin, z - Tria
x = y + 121.50
z = 3y - 35
x + y + z = 579
-------------------------
z = 3 y - 35 => - 3 y + z = -35
y + 121.50 + y + z = 579
---------------------------------
- 3 y + z = - 35 / · ( -1 )
2 y + z = 457.50 (we will use the elimination method)
---------------------------------
3 y - z = 35
2 y + z = 457.50
----------------------
5 y = 492.5, y = 492.5 : 5 = 98.5
z = 3 · 98.5 - 35
z = 260.5
Tria earned $260.5
A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate.
Which table shows the relationship between the time in seconds, x , and the height of the balloon in feet, y?
Answer: D
Step-by-step explanation:
If after 5 seconds the height was 20 feet then in 10 seconds it will be 40 feet and in 20 seconds it will be 80 seconds.
To get from 5 to 10 you multiply by 2
To get from 20 to 40 you multiply by 2.
Since you have a constant change then it works for D only.
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A hot air balloon is launched from the ground and climbs into the air at a consistent velocity. The balloon's elevation is 20 feet after 5 seconds. The balloon keeps rising at the same rate.
The height per second is given as,
m = 20 / 5
m = 4 ft/sec
Then the equation is given as,
y = 4x
At x = 10 sec, then the value of y will be
y = 4 (10)
y = 40 ft
At x = 20 sec, then the value of y will be
y = 4 (20)
y = 80ft
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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2(x+3)=4x+8-x solve for x
Answer:
x= -2
Step-by-step explanation:
Answer:
X = -2
Step-by-step explanation:
Find the length of YZ
Answer:
[tex]YZ = 19cm[/tex]
Step-by-step explanation:
To figure out what line YZ equals, we must first find x. And to do this, let's set up an equation.
Firstly, we know that XY is 8cm, and XZ is 4x+3. So, we know that XY + YZ will equal XZ. Let's set that up:
[tex]8 + 2x+7=4x+3[/tex]
Combine like terms.
[tex]2x+15=4x+3[/tex]
Subtract 2x from both sides.
[tex]15=2x+3[/tex]
Subtract 3 from both sides.
[tex]12=2x[/tex]
Divide both sides by 2.
[tex]6=x[/tex]
Now, we just need to plug 6 into the equation of YZ.
[tex]2(6)+7[/tex]
[tex]12+7[/tex]
[tex]YZ = 19[/tex]
PLEASE HELP ME WITH THIS PROBLEM 20 POINTS!
Answer:
1. interior angles
2. complementary angles
3. supplementary
4. supplementary
5. Alternate interior angles
6. supplementary
7. supplementary
Step-by-step explanation:
HOPE THIS HELP DA!!!!!!!
solve this equation showing work − 9 ≥− 8(1 + 6v) − 1
Answer:
v≥0
Step-by-step explanation:
−9≥−8(1+6v)−1
Step 1: Simplify both sides of the inequality.
−9≥−48v−9
Step 2: Flip the equation.
−48v−9≤−9
Step 3: Add 9 to both sides.
−48v−9+9≤−9+9
−48v≤0
Step 4: Divide both sides by -48.
−48v
−48
≤
0
−48
v≥0
What is the slope of a line that cobennects the points (7,5) and (12,15)
Answer:
Slope of line = 2
Step-by-step explanation:
Line is passing through the points
[tex] (7,\:5)= (x_1, \:y_1)\\ \:\&\:\\ (12,\:15)=(x_2, \:y_2) [/tex]
[tex]slope \: of \: line = \frac{y_2 - y_1}{x_2 -x_2 } \\ \\ = \frac{15 - 5}{12 - 7} \\ \\ = \frac{10}{5} \\ \\ slope \: of \: line= 2 \\ [/tex]
who wants a brainist whats the how do you convert ratios
Answer:
To a whole number: Add the numbers in the ratio togetherTo a fraction: Each number in the ratio would become a numerator in a fractionI hope this helps!
Credit goes to: calculatorsoup.com
Answer:
To convert, start by adding both parts of the ratio together. This will be the denominator for each of the fractions and also represents the whole set. Then, each part of the ratio creates a fraction, with the numerator being the first part of the ratio and the denominator being the sum that was just found.
Step-by-step explanation:
hope this helps :)
An angle measures 86° less than the measure of its complementary angle. What is the measure of each angle?
[tex]x + (x - 86) = 90[/tex]
[tex]2x - 86 = 90[/tex]
Both sides plus 86
[tex]2x = 90 + 86[/tex]
[tex]2x = 176[/tex]
Divided both sides by 2
[tex]x = \frac{176}{2} \\ [/tex]
[tex]x = 88[/tex]
So the angles are :
[tex]88 \: \: \: \: \: and \: \: \: \: 2[/tex]
The measure of the two complementary angles are 88° and 2°.
What is a complementary angle?"When the sum of two angles is 90°, then the angles are known as complementary angles."
Let, the complementary angle of the mentioned angle is x.
Therefore, the angle is = (x - 86°)
Now, x + (x - 86°) = 90°
⇒ 2x - 86° = 90°
⇒ 2x = 176°
⇒ x = 88°
Therefore, the measured angle is 88°.
It's complementary angle is = (90° - 88°) = 2°.
Learn more about complementary angle here: https://brainly.com/question/27884545
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Order these numbers from largest at the top, to smallest at the bottom.
1.1.57x10^-4
2.4.5x10^3
3.1.3x10^1
4.987
reorder answers
Answer:
2.45x10^3
3.13x10^1
4.987
1.157x10^-4
Step-by-step explanation:
I have assumed that 1.1.57 = 1.157 and the same with the second and third numbers.
3.13 * 10^1 = 31.3
1.157 * 10^-4 = 0.0001157
2.45 * 10^3 = 2450.
A new uniform cost 49.99 if its on sale for 15% off what is the cost before tax
Answer:
$42.49
Step-by-step explanation:
This means the cost of the item to you is $42.49. You will pay $42.49 for a item with original price of $49.99 when discounted 15%. In this example, if you buy an item at $49.99 with 15% discount, you will pay 49.99 - 7.4985 = 42.49 dollars.
Answer:
42.49
Step-by-step explanation:
Discount = 15% of 49.99
= 0.15 * 49.99
= 7.4985
Cost after discount = 49. 99 - 7.4985
= 42.4915
= 42.49
What is the missing length of this rectangle?
solve
3c-5=2c+5
please naswer fast and I will give you 5 stars
Answer:
10
Step-by-step explanation:
3c - 5 =2c +5
3c - 2c =5 +5
c=10
This weekend Karen participated in a road race the ratio of the number of miles she ran to the number of miles she walked is 4 : 5 how many miles did Karen run if she walked 10 miles
Answer:
8 miles
Step-by-step explanation:
If Karen ran 4 miles and walked 5 the fraction for that is 4/5 and if you double both of those you get 8/10 we know that she walked 10 miles so she had to have run 8 miles.
Answer:
8
Step-by-step explanation:
Find one counterexample to show that the conjecture is false.
1 and 2 are supplementary, so one of the angles is acute.
Choose the best counterexample for the conjecture.
O A. mZ1 = 119° and mZ2 = 61°
O B. mZ1 = 39° and mZ2 = 51°
O C. mZ1 = 32º and mZ2 = 157°
O D. mZ1 = 90° and mZ2 = 90°
If there are exactly 2.54 centimeters in 1 inch, how many inches are in 1 centimeter
Round to two decimal places.
===============================
Work Shown:
2.54 cm = 1 inch
2.54/2.54 cm = 1/2.54 inch ...... divide both sides by 2.54
1 cm = 0.39370078740158 inches
1 cm = 0.39 inches
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves One-fourth of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
the amount Tasha saves each week
the amount Tasha earns each hour
Tasha's weekly commission
Tasha's weekly earnings
Answer:
Tasha's weekly earnings
Step-by-step explanation:
I just took the pre-test
(sorry if I'm a little late)
Answer:
tasha's weekly earnings
What is the ratio AC: CB?
Answer:
how do we find this out
Step-by-step explanation:
A city starts with a population of 200,000 people in
2005. The population has been declining according to
the equation
P(t) = 200,000e-.08
where P is the population t years later. Approximately
when will the population be half the initial amount?
Answer:
200,000 and 2005 which cant theoretically be done be P(t) which would increase in the population which would most likely be from 2005 to 2020. so you cannot do this because imagine it as X=(Y)x the mass of population which would be defined as (P) which will also be represented as a probable and physical change in the number. but not only the number, but the population. being have of the initial amount which you will take the variable (P) and have the exact amount which would be the population. Which would theoretically recon as a positive ID of the population.-Cj
Step-by-step explanation:
List the opposite of the following numbers:
-4, 1, -2.5, 101, 1/2
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆Step-by-step explanation:
The opposite of :-
-4=4
1= -1
-2.5= 2.5
101 = -101
1/2= -1/2
Multiple questions! Need help within the hour!
Derek is watching a thunderstorm. He hears the thunder 4.7 s after seeing a flash of lightning. How far away was the lightning?
Answer:
1.0014 Miles
Step-by-step explanation:
The light travels at 186,291 miles per second (~300,000 km/s), and speed of sound in dry air is equal to 0.21 - 0.22 miles per second (0.33-0.35 km/s), as it varies with the temperature. We can notice the lightning almost immediately even though the storm is far from us, but the thunder needs around 5 seconds to travel one mile and approximately 3 seconds to travel one kilometer. Thanks to this seven orders of magnitude difference in sound and light propagation, we can easily estimate the storm distance
Answer:
This explanation is not good, can you please break it down so we can see how you guys got this answer?
Step-by-step explanation:
distance between (-1,-1) and (-4,1)
Slope of (-3,6), (2,6)
Answer:
0
Step-by-step explanation:
Answer:
0/-1 which equals 0
Step-by-step explanation:
I provided a picture explanation
this shud be easy im jus kinda having a big brain fart and need help :)
Answer:
It is 10. I usually have brain farts in math too.
Step-by-step explanation:
Answer:
is 13
Step-by-step explanation:
On Tuesday, a local hamburger shop sold a combined total of 402 hamburgers and cheeseburgers.
The number of cheeseburgers sold was two times the
number of hamburgers sold.
How many hamburgers were sold on Tuesday?
I hamburgers
Answer:
134
Step-by-step explanation:
2x +x =402
3x=402
x=134
2x=268
In this case x = hamburgers and 2x = cheeseburgers. And sense x = 134 that is your answer.
Encuentra el Minimo común múltiplo (m.c.m.) de los sieguentes numeros 12y 15
Answer:
is this question in Spanish ?
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me speak english
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An isosceles triangle has a vertex angle who measures 68 degrees. What is the measure of a base angle?
each base angle would be 56 degrees
plsssss helppp im so lost on this
Two times a number minus four is greater than one times the number plus 3. Write an inequality you could use to solve this problem.
Answer:
2n-4>1n+3
Step-by-step explanation:
So basically 2 times a number go together because it means its multiplying and the greater sign is > and then 1 is multiplying with n so its 1n and then you just add 1
If x2 = 144, which of the following is true?
A x = 72 or x = -72
B o x = 5184 or x = -5184
CX = 12 or x = -12
Dx = 132 or x = -132
give the correct answer
Solve all questions to get brainliest
Let me translate it to English before I answer your question.
Hello friend, how are you? Today I want to write about my schedule of classes.
My classes start at seven thirty in the morning. I have five classes everyday. My math class, it starts at seven thirty. Then a biology class and it starts at half past nine. I have a twenty minute break at noon. It starts at half past seven. I always have soccer practice after school, but today I have to come home early because I have to study for the biology test. Take care.
First answer: 20 mins
Second answer: 7:30
Third answer:7:30
Fourth answer:9:05
Hope this helps you!!
Stay safe.
